{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:QJBMENN6UFE7YABOGNTGMIEUBJ","short_pith_number":"pith:QJBMENN6","schema_version":"1.0","canonical_sha256":"8242c235bea149fc002e33666620940a6a66ed41593d3471926175d41f6c56ad","source":{"kind":"arxiv","id":"2510.00412","version":3},"attestation_state":"computed","paper":{"title":"Undecidability of Finite Orbit Recognition in Polynomial Maps","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.LO","authors_text":"Gwangyong Gwon","submitted_at":"2025-10-01T01:47:11Z","abstract_excerpt":"We prove the undecidability of determining whether a Turing machine yields an eventually periodic trajectory. From this, we deduce the undecidability of orbit finiteness in the polynomial dynamical system on infinite tuples of integers."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2510.00412","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2025-10-01T01:47:11Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"f040810ddd6dc93cd099d5e48adc117093f6c2237130d618c3373450b12643cc","abstract_canon_sha256":"9605861edaea9258d885d928e0c701ddc2c699a05839738d4bad25b448e6fd5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:02:55.997092Z","signature_b64":"TYMbHajR/XAq2kLgfM51wa92c0TIjPwC7iJdx9We70xLIkNRiBDv4jnqGB5R4f/gacz5qissW9vJ2jnoADCmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8242c235bea149fc002e33666620940a6a66ed41593d3471926175d41f6c56ad","last_reissued_at":"2026-05-20T00:02:55.996245Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:02:55.996245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Undecidability of Finite Orbit Recognition in Polynomial Maps","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.LO","authors_text":"Gwangyong Gwon","submitted_at":"2025-10-01T01:47:11Z","abstract_excerpt":"We prove the undecidability of determining whether a Turing machine yields an eventually periodic trajectory. From this, we deduce the undecidability of orbit finiteness in the polynomial dynamical system on infinite tuples of integers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.00412","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.00412/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2510.00412","created_at":"2026-05-20T00:02:55.996369+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.00412v3","created_at":"2026-05-20T00:02:55.996369+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.00412","created_at":"2026-05-20T00:02:55.996369+00:00"},{"alias_kind":"pith_short_12","alias_value":"QJBMENN6UFE7","created_at":"2026-05-20T00:02:55.996369+00:00"},{"alias_kind":"pith_short_16","alias_value":"QJBMENN6UFE7YABO","created_at":"2026-05-20T00:02:55.996369+00:00"},{"alias_kind":"pith_short_8","alias_value":"QJBMENN6","created_at":"2026-05-20T00:02:55.996369+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ","json":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ.json","graph_json":"https://pith.science/api/pith-number/QJBMENN6UFE7YABOGNTGMIEUBJ/graph.json","events_json":"https://pith.science/api/pith-number/QJBMENN6UFE7YABOGNTGMIEUBJ/events.json","paper":"https://pith.science/paper/QJBMENN6"},"agent_actions":{"view_html":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ","download_json":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ.json","view_paper":"https://pith.science/paper/QJBMENN6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.00412&json=true","fetch_graph":"https://pith.science/api/pith-number/QJBMENN6UFE7YABOGNTGMIEUBJ/graph.json","fetch_events":"https://pith.science/api/pith-number/QJBMENN6UFE7YABOGNTGMIEUBJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ/action/storage_attestation","attest_author":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ/action/author_attestation","sign_citation":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ/action/citation_signature","submit_replication":"https://pith.science/pith/QJBMENN6UFE7YABOGNTGMIEUBJ/action/replication_record"}},"created_at":"2026-05-20T00:02:55.996369+00:00","updated_at":"2026-05-20T00:02:55.996369+00:00"}